Research universities enable students to have a unique learning environment and other experiences. This article aims to analyze student engagement in one research university in Brazil, the effects of student socioeconomic and academic characteristics and their associations with university structures (curriculum), and student trajectories. The data comes from the Student Experience in the Research University, an international survey administered in 2012 at the University of Campinas and longitudinal academic registers. The study used both Principal Component Analysis and also Multiple Linear Regression Models. Five modes of engagement were found: two related to curricular engagement (engagement with faculty and engagement outside the classroom), social and leisure engagement, curricular disengagement and co-curricular engagement. The main effects are associated with the disciplines. Regarding student trajectories, there was a negative association between academic engagement and dropout students and those still enrolled seven years after the survey application. The results align with other studies that associate disciplines with student engagement and student engagement with student success.